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2334145145632 = 253710950935533
BaseRepresentation
bin100001111101110101111…
…001000110101100100000
322021010211120212222220121
4201331311321012230200
5301220312124130012
64544142543050024
7330431202244066
oct41756571065440
98233746788817
102334145145632
1181a9a60a1403
123184585a0914
1313c155468c61
1480d8a774036
1540ab315ba07
hex21f75e46b20

2334145145632 has 96 divisors (see below), whose sum is σ = 4772337015600. Its totient is φ = 1122870325248.

The previous prime is 2334145145509. The next prime is 2334145145653. The reversal of 2334145145632 is 2365415414332.

2334145145632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1652140046736 + 682005098896 = 1285356^2 + 825836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65671738 + ... + 65707270.

Almost surely, 22334145145632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2334145145632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386168507800).

2334145145632 is an abundant number, since it is smaller than the sum of its proper divisors (2438191869968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2334145145632 is a wasteful number, since it uses less digits than its factorization.

2334145145632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36198 (or 36190 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 43.

The spelling of 2334145145632 in words is "two trillion, three hundred thirty-four billion, one hundred forty-five million, one hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 74 109 148 218 296 436 509 592 872 1018 1184 1744 2036 3488 4033 4072 8066 8144 16132 16288 18833 32264 35533 37666 55481 64528 71066 75332 110962 129056 142132 150664 221924 284264 301328 443848 568528 602656 887696 1137056 1314721 1775392 2052797 2629442 3873097 4105594 5258884 7746194 8211188 10517768 15492388 16422376 18086297 21035536 30984776 32844752 36172594 42071072 61969552 65689504 72345188 123939104 143304589 144690376 286609178 289380752 573218356 578761504 669192989 1146436712 1338385978 1971406373 2292873424 2676771956 3942812746 4585746848 5353543912 7885625492 10707087824 15771250984 21414175648 31542501968 63085003936 72942035801 145884071602 291768143204 583536286408 1167072572816 2334145145632